5253075210240 has 1664 divisors, whose sum is σ = 22658554920960. Its totient is φ = 1137062707200.

The previous prime is 5253075210223. The next prime is 5253075210247. The reversal of 5253075210240 is 420125703525.

5253075210240 is a `hidden beast` number, since 5 + 2 + 530 + 75 + 2 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5253075210195 and 5253075210204.

It is not an unprimeable number, because it can be changed into a prime (5253075210247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2451270609 + ... + 2451272751.

Almost surely, 2^{5253075210240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5253075210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11329277460480).

5253075210240 is an abundant number, since it is smaller than the sum of its proper divisors (17405479710720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5253075210240 is a wasteful number, since it uses less digits than its factorization.

5253075210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 5253075210240 in words is "five trillion, two hundred fifty-three billion, seventy-five million, two hundred ten thousand, two hundred forty".